Problem:
Using Maple, evaluate the following integrals by the method of integration by parts:


Visualization:

The techniques used on this page use a special package which must be called by using the following command:

> with(student);

  1. > intparts(Int((3-5*x)*cos(4*x),x),3-5*x);

    > value(");

  2. > intparts(Int((7-3*x)*exp(6*x),x),7-3*x);

    > value(");

  3. > intparts(Int((x^3+5)*ln(x),x),ln(x));

    > value(");

  4. > intparts(Int(arcsin(3*x),x),arcsin(3*x));

    > value(");

  5. > intparts(Int(x^2*cos(4*x),x),x^2);

    > value(");


These integrals are solved without using Maple on this page.